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Simplifying 4(2x + -3) = x + 15 + -6x + 17 Reorder the terms: 4(-3 + 2x) = x + 15 + -6x + 17 (-3 * 4 + 2x * 4) = x + 15 + -6x + 17 (-12 + 8x) = x + 15 + -6x + 17 Reorder the terms: -12 + 8x = 15 + 17 + x + -6x Combine like terms: 15 + 17 = 32 -12 + 8x = 32 + x + -6x Combine like terms: x + -6x = -5x -12 + 8x = 32 + -5x Solving -12 + 8x = 32 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -12 + 8x + 5x = 32 + -5x + 5x Combine like terms: 8x + 5x = 13x -12 + 13x = 32 + -5x + 5x Combine like terms: -5x + 5x = 0 -12 + 13x = 32 + 0 -12 + 13x = 32 Add '12' to each side of the equation. -12 + 12 + 13x = 32 + 12 Combine like terms: -12 + 12 = 0 0 + 13x = 32 + 12 13x = 32 + 12 Combine like terms: 32 + 12 = 44 13x = 44 Divide each side by '13'. x = 3.384615385 Simplifying x = 3.384615385
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